Use Cylindrical or Spherical Coordinates, Whichever Seems More Appropriate, to Evaluate

question 23

Multiple Choice

Use cylindrical or spherical coordinates, whichever seems more appropriate, to evaluate $\iiint _ { E } z d V$ where $E$ lies above the paraboloid $z = x ^ { 2 } + y ^ { 2 }$ and below the plane $z = 16$ .

• A) \(- 160.28\)
• B) \(176.38\)
• C) \(4,289.32\)
• D) \(175.93\)
• E) \(175.37\)